MATH 126 Final: MATH 126 UW Final Exam au07
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Ta"s name: turn o and put away all electronic devices except your non-graphing calculator, this exam is closed book. 2 11 sheet of handwritten notes (both sides may be used): graphing calculators are not allowed. Do not share notes: in order to receive full credit, you must show all of your work on the exam paper (even if you could do the work in your head!). Page 1 of 10: consider the function f (x) = (3 + x) Page 2 of 10: consider the function f (x) = ln(1 + 3x2). (a) [6 points] find the taylor series for the function f (x) = ln(1 + 3x2) about b = 0. Write your answer in summation notation (hint: no di erentiation is necessary). (b) [2 points] find an interval on which the series you just wrote down converges. Page 3 of 10: [10 points] find the plane containing the lines de ned parametrically by.
